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Finding the Fourth Proportional to 3,070.91, 4,609.10 and 1,611.09

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Solution

The fourth proportional to 3,070.91, 4,609.10 and 1,611.09 is: 2,418.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.91 : 4,609.10 = 1,611.09 : x
  2. Step 2: Convert to fraction form
    3,070.91/4,609.10 = 1,611.09/x
  3. Step 3: Cross multiply
    3,070.91x = 4,609.10 × 1,611.09
  4. Step 4: Simplify right side
    3,070.91x = 7,425,678.95
  5. Step 5: Solve for x
    x = 7,425,678.95/3,070.91
  6. Step 6: Final answer
    x = 2,418.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.